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Finding the Fourth Proportional to 428,997.95, 592,009.30 and 238,007.24

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Solution

The fourth proportional to 428,997.95, 592,009.30 and 238,007.24 is: 328,445.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,997.95 : 592,009.30 = 238,007.24 : x
  2. Step 2: Convert to fraction form
    428,997.95/592,009.30 = 238,007.24/x
  3. Step 3: Cross multiply
    428,997.95x = 592,009.30 × 238,007.24
  4. Step 4: Simplify right side
    428,997.95x = 140,902,500,432.34
  5. Step 5: Solve for x
    x = 140,902,500,432.34/428,997.95
  6. Step 6: Final answer
    x = 328,445.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.